Nicola Abatangelo

activity

20132026

most citedOn the maximum principle for higher-order fractional Laplacians

27 citations · 54 across the 13 of their papers we have counts for

collaborators

Showing 2022 · math.APShow all

2 papers · 2 filters

math.AP2022

Oscillatory Phenomena for Higher-Order Fractional Laplacians

Nicola Abatangelo, Sven Jarohs

We collect some peculiarities of higher-order fractional Laplacians $(- Δ)^{s}$ , $s > 1$ , with special attention to the range $s \in (1, 2)$ , which show their oscillatory nature. These inc…

math.AP2022

On the shape of the first fractional eigenfunction

Nicola Abatangelo, Sven Jarohs

We show that the first eigenfunction of the fractional Laplacian $(- Δ)^{s}$ , $s \in (1/2, 1)$ , is superharmonic in the unitary ball up to dimension $11$ . To this aim, we also rely on…